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Finding the Fourth Proportional to 1,514.92, 2,272.68 and 541

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Solution

The fourth proportional to 1,514.92, 2,272.68 and 541 is: 811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.92 : 2,272.68 = 541 : x
  2. Step 2: Convert to fraction form
    1,514.92/2,272.68 = 541/x
  3. Step 3: Cross multiply
    1,514.92x = 2,272.68 × 541
  4. Step 4: Simplify right side
    1,514.92x = 1,229,519.88
  5. Step 5: Solve for x
    x = 1,229,519.88/1,514.92
  6. Step 6: Final answer
    x = 811.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.